Abstract
Worms exploiting zero‐day vulnerabilities have drawn significant attention owing to their enormous threats to the Internet. In general, users may immunize their computers with countermeasures in exposed and infectious state, which may take a period of time. Through theoretical analysis, time delay may lead to Hopf bifurcation phenomenon so that the worm propagation system will be unstable and uncontrollable. In view of the above factors, a quarantine strategy is thus proposed in the study. In real network, unknown worms and worm variants may lead to great risks, which misuse detection system fails to detect. However, anomaly detection is of help in detecting these kinds of worm. Consequently, our proposed quarantine strategy is built on the basis of anomaly intrusion detection system. Numerical experiments show that the quarantine strategy can diminish the infectious hosts sharply. In addition, the threshold τ0 is much larger after using our quarantine strategy, which implies that people have more time to remove worms so that the system is easier to be stable and controllable without Hopf bifurcation. Finally, simulation results match numerical ones well, which fully supports our analysis.
Highlights
In recent years, with the rapid development of computer technologies and network applications, Internet has become a powerful mechanism for propagating malicious software programs.Systems running on network computers become more vulnerable to digital threats
Time delay may lead to Hopf bifurcation phenomenon so that the worm propagation system will be unstable and uncontrollable
The threshold τ0 is much larger after using our quarantine strategy, which implies that people have more time to remove worms so that the system is easier to be stable and controllable without Hopf bifurcation
Summary
With the rapid development of computer technologies and network applications, Internet has become a powerful mechanism for propagating malicious software programs.Systems running on network computers become more vulnerable to digital threats. Dong et al propose a computer virus model with time delay based on an SEIR model and regard time delay as bifurcating parameter to study the dynamical behaviors which include local asymptotical stability and local Hopf bifurcation 9. Previous studies have failed to consider the appropriate quarantine strategy to eliminate the negative effect of time delay, which may lead to Hopf bifurcation phenomenon so that the worm propagation system will be unstable and uncontrollable. Time delay is introduced in a worm propagation model Users may immunize their computers with countermeasures in exposed and infectious state, which may take a period of time. The threshold τ0 is much larger after using our quarantine strategy, which implies that people have more time to remove worms so that the system is easier to be stable and controllable without Hopf bifurcation.
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